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Chapter 3 Pages 168 - 231 Geometry – Glencoe McGraw-Hill (Red Textbook)
3.1: Parallel Lines and Transversals
Focus:
G.CS.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notations of point, line, distance along a line, and distance around a circular arc.
G.CO.9: Prove Theorems about lines and angles
New Vocabulary
Parallel Lines –
Skew Lines –
Parallel Planes –
Transversal –
Angles formed by a Transversal
Angles Definition Example
Interior Angles
Exterior Angles
Consecutive Interior Angles
Formal Geometry 2016-2017 [email protected] MsRamiloHugHS.weebly.com
Unit 3: Parallel & Perpendicular Lines
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
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3.2: Angles and Parallel Lines
Focus:
G.CS.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notations of point, line, distance along a line, and distance around a circular arc.
G.CO.9: Prove Theorems about lines and angles
POSTULATE LIST
Postulate 3.1 –
THEOREM LIST
Theorem 3.1 –
Theorem 3.2 –
Theorem 3.3 –
Theorem 3.4 –
3
3.3: Slopes of Lines
Focus:
G.GPE.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.
New Vocabulary
Slope –
POSTULATE LIST
Postulate 3.2 –
Postulate 3.3 –
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5
6
3.R: Partitioning a Segment
Focus:
G.GPE.6: Find the point on a directed line segment between two given points that partitions the segment in a given ratio
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3.4: Equations of Lines
Focus:
G.GPE.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.
New Vocabulary
Slope-intercept form-
8
Equations of Horizontal and Vertical Lines
Horizontal Lines-
Vertical Lines -
3.5: Proving Parallel Lines
Focus:
G.CO.9: Prove theorems about lines and angles
G.CO.12: Make formal geometric constructions with a variety of tools and methods.
POSTULATE LIST
Postulate 3.4 –
Postulate 3.5 –
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THEOREM LIST
Theorem 3.5 –
Theorem 3.6 –
Theorem 3.7 –
Theorem 3.8 –
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3.6: Perpendiculars and Distance
Focus:
G.CO.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notations of point, line, distance along a line, and distance around a circular arc.
G.CO.9: Prove theorems about lines and angles.
G.CO.12: Make formal geometric constructions with a variety of tools and methods.
New Vocabulary
Distance between a point and a line –
POSTULATE LIST
Postulate 3.6 Perpendicular Postulate –
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13
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